DOAJ Open Access 2024

Second Kind Chebyshev Wavelet Analysis of Abel’s Integral Equations

Harish Chandra Yadav Abhilasha Yadav Susheel Kumar

Abstrak

This paper presents two approximations of the solution functions of Abel’s integral equations belong ing to classes Hα[0,1), Hϕ[0,1) by (λk+1 −1,M)th partial sums of their second kind Chebyshev wavelet expansion in the interval [0,1), for λ > 1. These approximations are E(1) λk+1−1,M (f), E(2) λk+1−1,M (f). Chebyshev wavelets of the second kind were used to solve Abel’s integral equations. The Chebyshev wavelet of the second kind leads to a solution that is almost identical to their exact solution. This research paper’s accomplishment in wavelet analysis is noteworthy.

Topik & Kata Kunci

Mathematics Probabilities. Mathematical statistics

Penulis (3)

Harish Chandra Yadav

Abhilasha Yadav

Susheel Kumar

Format Sitasi

APA MLA BibTeX

Yadav, H.C., Yadav, A., Kumar, S. (2024). Second Kind Chebyshev Wavelet Analysis of Abel’s Integral Equations. https://doi.org/10.23755/rm.v51i0.1044

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.23755/rm.v51i0.1044
Akses: Open Access ✓